Edge Sequences, Ribbon Tableaux, and an Action of Affine Permutations

An overview is provided of some of the basic facts concerning rim hook lattices and ribbon tableaux, using a representation of partitions by their edge sequences. An action is defined for the affine Coxeter group of type Ãr − 1on ther-rim hook lattice, and thereby on the sets of standard and semistandardr-ribbon tableaux, and this action is related to the concept of chains inr-ribbon tableaux.